a. The formula for the point-slope form of the equation is y - y1 = m(x - x1), where m represents the slope and (x1, y1) represents a point on the line.
b. In this case, since the line passes through the origin (0,0), we can use x1 = 0 and y1 = 0. The slope m is given as 2.
c. Substituting the values into the formula, we have y - 0 = 2(x - 0). Simplifying further, we get y = 2x.
Therefore, the point-slope form of the equation of the line that passes through the origin and has a slope of 2 is y = 2x.
Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2.
a. Using variables, write out the formula for the point-slope form of the equation.
b. Identify the values for m, x1, and y1.
c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.
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